step by step please, thank you so much

Answers

Answer 1

The equation of the parabola will be y = x² – 6x + 9. Then the correct option is C.

The complete question is attached below.

What is the parabola?

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

The equation of a quadratic function, of vertex (h, k), is given by:

y = a(x – h)² + k

where a is the leading coefficient.

The vertex of the parabola is at (3, 0). Then the equation of the parabola will be

y = (x – 3)² + 0

Then open the bracket, we have

y = x² – 6x + 9

Then the correct option is C.

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Step By Step Please, Thank You So Much

Related Questions

when 7 is subtracted from 3 times a certain number , the result is 28. What is the number

Answers

The number will be equal to 11.67.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The expression will be formed from the given data. Let the number be x so the expression will be:-

3x - 7 = 28

3x = 35

x = 35 / 3

x = 11.67

Therefore the number will be equal to 11.67.

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Your checking account is off $150 because the Bank’s statement says you have $750 and you think you have $900. We find you made two mistakes. You forgot to write in a Deposit of $100 and you forgot to write in your Rent check.
Can you tell me how much the RENT check is (In terms of dollars)?

Answers

The amount of RENT forgot to write is $ 50.

What is Transaction?

A transaction is a completed agreement between a buyer and a seller to exchange goods, services, or financial assets in return for money.

Here, Total expected amount = $ 900

          Actual amount = $ 750

          Deposit forgot = $ 100

Amount of RENT = 900 - (750 + 100)

                              = 900 - 850

                             = $ 50

Thus, The amount of RENT forgot to write is $ 50.

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Need help with this ASAP if you could that would help!!

Answers

Answer:

the distance between DE is 2

The distance of EF is 5

The distance of FD is [tex]\sqrt{29}[/tex]

Perimeter is 7+[tex]\sqrt{29}[/tex]

Step-by-step explanation:

Distance of DE

[tex]\sqrt{(-3-(-3))^2+(3-1)^2}[/tex]

sqrt([tex](-3+3)^2+(2)^2[/tex])

sqrt([tex](0)^2+4[/tex])

[tex]\sqrt{4}[/tex]

=2

Distance of EF

[tex]\sqrt{(2-(-3))^2+(3-3)^2}[/tex]

Solve that like DE and it equals 5

Distance of FD

[tex]\sqrt{(2-(-3))^2+(3-1)^2}[/tex]

equals to [tex]\sqrt{29}[/tex]

P=DE+EF+FD

P=2+5+[tex]\sqrt{29}[/tex] = 7+[tex]\sqrt{29}[/tex]

Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Determine each segment length in right triangle . Triangle ABC with right angle marked at vertex B. Side AC, opposite vertex B, is labeled 14. Dashed segment is drawn from vertex B to point D on side AC. Angle BDA is marked right angle. Angles A and C both marked 45 degrees. Segment AD is labeled 7. (dragged tiles) 7(squareroot)3 7(square root) 7. 14. 14(squareroot)3. 14(square root)2

Answers

The segment length is 14 (square root)2

Given that Triangle ABC is right angle triangle

The vertex marked is B where side AC is the hypotenuse

The side of AC is at Vertex B is 14

The dash segment from vertex B to point D on side AC

Angle BDA is marked right angle .

Angles A and C both marked 45 degrees.

As shown in diagram

Triangle ABC is drawn according to the statement where B is vertex

The side lengths are 14  

Now to find Another side length that is x

So , the equation formed is

x*cos45 = 14

x/√2 = 14

x = 14√2

Hence the length of the segment is 14√2

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Answer:

Step-by-step explanation:

The segment length is 14 (square root)2

Given that Triangle ABC is right angle triangle

The vertex marked is B where side AC is the hypotenuse

The side of AC is at Vertex B is 14

The dash segment from vertex B to point D on side AC

Angle BDA is marked right angle .

Angles A and C both marked 45 degrees.

As shown in diagram

Triangle ABC is drawn according to the statement where B is vertex

The side lengths are 14  

Now to find Another side length that is x

So , the equation formed is

x*cos45 = 14

x/√2 = 14

x = 14√2

Hence the length of the segment is 14√2

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Solve for w.
−16w-3 = 5w²

Answers

Answer:

w = -1/5

OR

w = -3

Step-by-step explanation:

Given equation:

−16w-3 = 5w²

Solution:

Subtracting 5w^2 from both sides,we get

-16w-3-5w² = 5w² - 5w²-5w²-16w-3=0

Factor the LHS of this equation using middle term factor:

(-5w²-1)(w-3)

Now,

[tex]( - 5w - 1) = 0 \: \: \: \: \: \: \: \: ...(1)[/tex][tex](w - 3) = 0 \: \: \: \: \: \: \: \: \: \: ... (2)[/tex]

Solving for equation 1:

[tex] - 5w = 0 + 1[/tex][tex] - 5w = 1[/tex][tex] \boxed{w = - \cfrac{1}{5} }[/tex]

Solving for equation 2:

[tex]w - 3 = 0[/tex][tex]w = 0 - 3[/tex][tex] \boxed{w = - 3}[/tex]

[tex] - 16w - 3 = 5 {w}^{2} \\ \\ 0 = 5 {w}^{2} + 16w + 3 \\ \\ 5 {w}^{2} + 16w + 3 = 0 \\ \\ 5 {w}^{2} + w + 15w + 3 = 0 \\ \\ (5 {w}^{2} + w) + (15w + 3) = 0 \\ \\ w(5w + 1) + 3(5w + 1) = 0 \\ \\ (w + 3)(5w + 1) = 0. [/tex]

The value of w is -3 and -1/5 .

I need answer as fast as possible please.​

Answers

Step-by-step explanation:

a=110. x,55

y=180-(x+75)=50

w,75

b,110

x,40

y,30

The weight of a cat is normally distributed with a mean of 9 pounds and a standard deviation of 2 pounds. Using the empirical rule, what is the probability that a cat will weigh less than 11 pounds?

Answers

If the value of the z-score is 1. Then the probability that a cat will weigh less than 11 pounds will be 0.84134.

What is the z-score?

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The z-score is given as

z = (x - μ) / σ

Where μ is the mean, σ is the standard deviation, and x is the sample.

The weight of a cat is normally distributed with a mean of 9 pounds and a standard deviation of 2 pounds.

Then the probability that a cat will weigh less than 11 pounds will be

The value of z-score will be

z = (11 – 9) / 2

z = 1

Then the probability will be

P(x < 11) = P(z < 1)

P(x < 11) = 0.84134

Thus, the probability that a cat will weigh less than 11 pounds will be 0.84134.

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Angelina's family owns a mini-golf course. When discussing the business with a customer, she explains there is a relationship between the number of visitors and
hole-in-one winners. If x is the number of visitors and y is the number of winners, which conclusion is correct?
A. The ordered pair (-3, 6) is viable.
B. The ordered pair (7, 2) is viable.
C. The ordered pair (15,-7) is viable.
D. The ordered pair (18,3) in non viable

Answers

The ordered pair (7,2) is viable and Option B is the correct answer.

What is Relationship ?

Relationship between variables defines the way one variable is dependent upon the other variable.

It is given that x is the number of visitors and y is the number of winners,

It has to be seen and chosen that which ordered pair makes sense

The ordered pair is viable if the no. of visitor is positive and more than the number of winners.

Therefore ordered pair (7,2) is viable and Option B is the correct answer.

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Name a career that require data -analysis skills describe how data analysis skills describe how date analysis is used in this career be sepcific when typical values are given for salaries and housing prices the median is almost always given instead of mean.

Answers

A career as a Data Scientist would require data analysis skills.

What is the career for data analysis?

1) A career as a Data Scientist would require data analysis skills.

2) The Data Scientist computes and analyzes large amounts of data from different sources and then uses the results for interpretations. The skills required by a data scientist are skills In Statistics, calculus, Probability, Programming, Excel, Visualization, Database management, and Machine Learning. He also needs a high level of accuracy when solving problems.

3) The median value is used when the data set contains values that occur repeatedly and which contains some extremely high values. The mean value would aggravate towards higher values while the Median value would give a salary value that is an average of the data set. That is why the median value is used in salaries and housing prices calculations.

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edg vector operations, any help appreciated!

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: Add \:\: -6 \hat i - 6\hat j \:\:with \:\; Vector \:\; c[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

Vector d can be represented as :

[tex]\qquad \tt \rightarrow \: - 2 \hat i - 2 \hat j[/tex]

Vector c can be represented as :

[tex]\qquad \tt \rightarrow \: 4 \hat i + 4\hat j[/tex]

we have to create vector d from vector c

So, let's assume a vector x, such that sum of vector x and vector c equals to vector d

[tex]\qquad \tt \rightarrow \: x + ( 4 \hat i + 4 \hat j) = - 2 \hat i - 2 \hat j[/tex]

[tex]\qquad \tt \rightarrow \: x = - ( 4 \hat i + 4 \hat j) - 2 \hat i - 2 \hat j[/tex]

[tex]\qquad \tt \rightarrow \: x = (- 4 \hat i - 2 \hat i) + ( - 4 \hat j - 2 \hat j)[/tex]

[tex]\qquad \tt \rightarrow \: x = - 6 \hat i -6 \hat j[/tex]

Henceforth, in order to get vector d, we need to add (-6i - 6j) in vector c

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

If f(x) = 7 + 4x and g (x) = StartFraction 1 Over 2 x EndFraction, what is the value of (StartFraction f Over g EndFraction) (5)?
Eleven-halves
StartFraction 27 Over 10 EndFraction
160
270

Answers

The value of (StartFraction f Over g EndFraction) (5) will be 270

Fraction is a number that is stated as a quotient in mathematics, when the numerator and denominator are divided. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a correct fraction is smaller than the denominator.

Given f(x) = 7 + 4x and g (x) = StartFraction 1 Over 2 x EndFraction

We have to find the value of (StartFraction f Over g EndFraction) (5)

Given that the functions f and g are defined by f(x) = 7 + 4x and g(x) = 1/2x

First find the value of (f/g)(x):

(f/g)(x) = (7+4x)/(1/2x)

=(7+4x)(2x)

=7(2x)+4x(2x)

(f/g)(x) = 14x + 8x^2

Put x=5 in the above function,

(f/g)(5) = 14(5) + 8(5)^2

= 70+8(25)

= 70+200

(f/g)(5) = 270

Hence value of (StartFraction f Over g EndFraction) (5) will be 270

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Answer: D.270

Step-by-step explanation:

just got it right on unit test on edge

Which expression is equivalent

Answers

I would say c
Ccccccccccccccccccccccc

The table shows results of an experiment that was replicated.


Which best describes the data?

They are precise and reproducible.
They are precise but not reproducible.
They are accurate and reproducible.
They are accurate but not reproducible.

Answers

The option that best describes the experiment is accurate and reproducible.

What option describes the data?

All the values from the experiment are close in value to the accepted value. This indicates that the experiment is accurate. Two experiments yield the same values. This indicates that the experiment is reproducible.

Here is the table used in answering the question:

Accepted Value: 130

Experiment 1 129

Experiment 2 131

Experiment 3 129

Experiment 4 132

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Answer:

(A)They are precise and reproducible

Step-by-step explanation:

Re-write the quadratic function below in Standard Form y = −(x−4) (x+3)

Answers

Answer:

y=-x²+8x+16

Step-by-step explanation:

y= -3(x – 4)(x – 4)

We multiply

y=(-3x+12)(x-4)

Expand the bracket

y= x(-3x+12) -4(-3x+12)

y=-3x²+12x

-4(-3x+12)

+12x+48

y=-3x²+24x+48

Divide by 3

y=-x²+8x+16

(05.06)
Which of the following points lie in the solution set to the following system of
inequalities? (1 point)
y<-3x+3
y O (1.-5)
O (1.5)
O (5.1)
0 (-1.5)

Answers

the graphing points

express 3256 as the product of power of 10​

Answers

Answer:

3.256*10³2

Step-by-step explanation:3.256 * 1000 = 3256 1000 =10³

the graph of F(x) can be stretched vertically and flipped over the x axis to produce the graph of G(x) if F(x)=x^2 which of the following could be the equation of G(x)

A. G(x)=-1/5x^2
B. G(x)=-5x^2
C. G(x)=5x^2
D. G(x)=1/5x^2

Answers

Answer:

g(x) = -5x²

(option B)

Step-by-step explanation:

we know that our original graph, f(x) = x² is a parabola.

So, we can consider what happens when we adjust the function/equation of a parabola.

when we "vertically stretch" a parabola, we are increasing the value of x.

 think of it this way: the steepness of a slope is rise over run. If we rise ten, and run one, that's going be a lot more steep than if we rise 1, run 1.

Let's say our x = 5

if f(x)=x²

f(5) = 25

> y value / steepness is 25

f(x) = 3x²

f(5) = 75

 > y value / steepness is 75

So, we are looking for an equation with an increase in x present.

When a parabola has been flipped over the x-axis, we know that the original equation now includes a negative

suppose that x = 1

if y = x² ; y = 1² = 1

if y = -(x²) ; y = -(1²) ; y = -1

So, when we set x to be negative, we make our y-values end up as negative also (which makes the graph look as if it has been flipped upside-down)

This means that we are looking for a function with a negative x value.

So, we are looking for a negative x-value that is multiplied by a number >1

The graph that fits our requirements is g(x) = -5x²

hope this helps!!

A population can be divided into two subgroups that occur with probabilities 60% and 40%, respectively. An event A occurs 30% of the time in the first subgroup and 50% of the time in the second subgroup. What is the unconditional probability of the event A, regardless of which subgroup it comes from

Answers

The unconditional probability of the event A, regardless of which subgroup it comes from is 38%

How to determine the probability?

Let the events be represented as:

A ⇒ The event A happeningB ⇒ First subgroupC ⇒ Second subgroup

So, we have:

P(B) = 60%

P(C) = 40%

P(A | B) = 30%

P(A | C) = 50%

The probability is then calculated as:

P = P(A | B) * P(B)  + P(A | C) * P(C)

Substitute known values

P = 30% * 60% + 50% * 40%

Evaluate the product

P = 38%

Hence, the probability is 38%

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what is the answer for this question

Answers

Answer:
288 minutes.(4.8 hours)
Step-by-Step-Explanation:
3 people can build a shed in 8 hours, so how long would it take 1 person to?
3 / 3 = 1
8 * 3 = 24

It would take one person 24 hours to build the shed alone.
24 hours to minutes -
24 * 60 = 1440

If 5 people were to build a shed
(1440 minutes / 5 people -(1440/5= 288))

It would take 5 people 288 minutes (4.8 hours) to build a shed


Explain how to use a graph of the function f(x) to
find f(3).

Answers

Answer:

here you go with your answer

How would i find the domain of this?

Answers

The domain of the graph is {x : x∈ R}

How to determine the domain?

The domain of a function or graph is the set of input values the function can take.

This in other words represents the x values

From the graph, we can see that x values extend indefinitely on both axes.

This is indicated by the arrows at the ends of the curve

This means that the domain is the set of all real numbers

Hence, the domain of the graph is {x : x∈ R}

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suppose a triangle has sides a, b, and c and the angle opposite the side of length a is acute what must be true?

A. b2+c2>a2
B. a2+b2 C. b2+c2 D. a2+b2=c2

Answers

The true statement about the triangle is (a) b^2 + c^2 > a^2

How to determine the true inequality?

The sides are given as:

a, b and c

The angle opposite of side length a is an acute angle

The above means that:

The side a is the longest side of the triangle.

The Pythagoras theorem states that:

a^2 = b^2 + c^2

Since the triangle is not a right triangle, and the angle opposite a is acute.

Then it means that the square of a is less than the sum of squares of other sides.

This gives

a^2 < b^2 + c^2

Rewrite as:

b^2 + c^2 > a^2

Hence, the true statement about the triangle is (a) b^2 + c^2 > a^2

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Which expression simplifies to 5√3?
OA. √30
OB. 45
OC. √75
OD. 15
Re

Answers

Answer:

C)

Step-by-step explanation:

Prime factorize.

A) √30 is in its simplest form.

[tex]B) \sf \sqrt{45}= \sqrt{3*3*5} = 3\sqrt{5}\\[/tex]

[tex]C) \sqrt{75}=\sqrt{3*5*5}=5\sqrt{3}[/tex]

So, option C

The simplified expression of 5√3 is √75.

Hence, Option C is correct.

What is an mathematical expression?

Using operations like addition, subtraction, multiplication, and division, a mathematical expression is defined as a group of numerical variables and functions.

The given expression is,

5√3

So it can be written as,

⇒√5² x √3

⇒ √25 x √3

Since we know that,

Square roots are multiplied by both the whole number component and the square root component individually.

Therefore,

⇒√(25x3)

⇒√75

Thus,

5√3  = √75

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Evaluate the function when x = - 2, 0 and 5.

Answers

[tex]h(x) = - x - 7 \\ \\ when \: x \: is \: - 2 \\ h(x) = - ( - 2) - 7 \\ h(x) = 2 - 7 \\ h(x) = - 5 \\ \\ when \: x \: is \: 0 \\ h(x) = 0 - 7 \\ h(x) = - 7 \\ \\ when \: x \: is \: 5 \\ h(x) = - 5 - 7 \\ h(x) = - 12[/tex]

The side of an equilateral triangle is given as 8cm, correct to the nearest centimeter. What is the possible least lenght of its perimeter?

Answers

Answer:

An equilateral triangle is a triangle with all 3 sides the same in size.
If one side is 8cm, then 8x3=24 cm
The perimeter is possibly 24 cm.

If three standard six-sided die were rolled with the numbers showing on each recorded, how many equally likely outcomes would be in the sample space?

Answers

Answer:

216

Step-by-step explanation:

You are rolling three die three times

a die has six sides

to obtain the sample space

we would have to multiply 6 x 6  x 6

which could account for the three roles which would be equivalent to the sample space

6^3

Determine whether the given differential equation is exact. If it is exact, solve it. (tan(x)-sin(x)sin*y))dx+cos(x)cos(y)dy=0 g

Answers

The differential equation

[tex]M(x,y) \, dx + N(x,y) \, dy = 0[/tex]

is considered exact if [tex]M_y = N_x[/tex] (where subscripts denote partial derivatives). If it is exact, then its general solution is an implicit function [tex]f(x,y)=C[/tex] such that [tex]f_x=M[/tex] and [tex]f_y=N[/tex].

We have

[tex]M = \tan(x) - \sin(x) \sin(y) \implies M_y = -\sin(x) \cos(y)[/tex]

[tex]N = \cos(x) \cos(y) \implies N_x = -\sin(x) \cos(y)[/tex]

and [tex]M_y=N_x[/tex], so the equation is indeed exact.

Now, the solution [tex]f[/tex] satisfies

[tex]f_x = \tan(x) - \sin(x) \sin(y)[/tex]

Integrating with respect to [tex]x[/tex], we get

[tex]\displaystyle \int f_x \, dx = \int (\tan(x) - \sin(x) \sin(y)) \, dx[/tex]

[tex]\implies f(x,y) = -\ln|\cos(x)| + \cos(x) \sin(y) + g(y)[/tex]

and differentiating with respect to [tex]y[/tex], we get

[tex]f_y = \cos(x) \cos(y) = \cos(x) \cos(y) + \dfrac{dg}{dy}[/tex]

[tex]\implies \dfrac{dg}{dy} = 0 \implies g(y) = C[/tex]

Then the general solution to the exact equation is

[tex]f(x,y) = \boxed{-\ln|\cos(x)| + \cos(x) \sin(y) = C}[/tex]

how do i do this? i need to factor it conpletely with any method that goes with it​

Answers

2x^2 - 7x + 3
Multiply the 2 in 2x^2 by the 3

Now we need to workout two numbers that
Multiply to get 2 * 3
Multiply to get 6
And add me to get -7

-6 * -1 = 6 and
-6 + -1 = -7

So
-6 and -1

Now we replace that with the -7x

2x^2 - 1x - 6x + 3

Now we factorise the 2x^2 - 1x
x(2x - 1)

And factorise - 6x + 3
-3(2x - 1)

Put it back together

x(2x - 1) -3(2x - 1)

The inside brackets are the same so we can eliminate

(x - 3) (2x - 1)
And that is the answer

Emily invested $810 in an account paying an interest rate of

Answers

Answer:

complete this

Step-by-step explanation:

yeah do it

Given the function f(x) below, evaluate 3f(-2) + f(1).
if z ≤-3
3z²-2z if -3 -2√2-1
if x > 0
7x-2
f(x) = 3x² - 2x
pls help

Answers

The value of the expression 3f(-2) + f(1) is 45

Piecewise functions

Piecewise functions are functions that has two or more equations. They can consists of parabola and straight line.

From the equations, the point where x is -2 is f(x) = 3x^2 - 2x

f(-2) = 3(-2)^2 - 2(-2)
f(-2) = 12 + 4

f(-2) = 16

Similarly the point where x = 1 is -2√x - 1

f(1) = -2√1 - 1

f(1) = -2 - 1

f(1) = -3

Substitute

3f(-2) + f(1) = 3(16) +(-3)
3f(-2) + f(1) = 48 - 3
3f(-2) + f(1) = 45

Hence the value of the expression 3f(-2) + f(1) is 45

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simplify (2 c )(1) Please help!!!!!!!!!!!asap In desperate need of help!!!!!!! Please Help Me Answer These Winston pays a yearly fee to Barbara to rent stall space for his horse at the fairgrounds. Winstons tenancy is best classified as: Adam smith believed that _____________ would lead to the production of items that consumers want. Simon Bolivar was also known as The Liberator because he liberatedA. Southern South America from Spanish ruleB. Southern South America from French ruleC. Northern South America from Spanish ruleD. Nothern South America from French rule the pressure of a gas depends on the ____ and ____ of the gas. Is a surface event that takes place during the rock cycle A 3-V adaptor using a half-wave rectifier must supply a current of 0.5 A with a max- imum ripple of 300 mV. For a frequency of 60 Hz, compute the minimum required smoothing capacitor. How many pounds of candy that sells for $0.82 per lb must be mixed with candy that sells for $1.36 per lb to obtain 9 lb of a mixture that should sell for $0.91 per lb? Choose the correct option that turns the fragment into a complete sentence.Because it was raining.A.)Remove the word "because."B.)Remove the word "it."C.Remove the word "was."D.)Remove the word "raining." A middle school took all of its 6th grade students on a field trip to see a play. Thestudents filled 341 seats, which was 55% of the total number of seats in the theater.How many total seats were in the theater? simplify (6 to the power of 5)power 2 Why might an idea or hypothesis be discarded? What things should you consider when setting up a checking or savings account with a financial institution? A driver brought an action for negligence against a motorcyclist in federal district court arising out of a car accident. The motorcyclist collided with the driver's car after he was unable to brake in the rain while driving down a hill. At the close of all evidence, the motorcyclist moved for judgment as a matter of law. The court denied the motion and submitted the case to the jury. Following a brief deliberation, the jury returned a verdict in favor of the driver, assessing $100,000 in damages. The court then entered judgment against the motorcyclist. Six months later, the manufacturer of the motorcycle issued a product recall for the brakes. The manufacturer had discovered that the brakes did not operate in the rain if the motorcycle was being driven downhill. Neither the manufacturer nor the motorcyclist was aware of this defect during the motorcyclist's trial, despite examination of the motorcycle by experts. At this point, what is the appropriate motion for the motorcyclist's lawyer to file Read this excerpt from the Declaration of Independence:Governments are instituted among Men, deriving their justpowers from the consent of the governed. . . . [W]heneverany Form of Government becomes destructive of theseends, it is the Right of the People to alter or to abolish it,and to institute new Government.The excerpt most reflects which Enlightenment idea?O A. Popular sovereigntyB. RepublicanismC. Separation of powersD. Natural rights Your family is driving to Disney which is 1000 miles away The first day your family drives 600 miles in 10 hours and the second day they drive the remaining distance in 8 hours . What is the average speed of travel for the second day? Retell the story of how the moon formed. integrate as many of the moon's features into the story as possible.